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Finding the Fourth Proportional to 377,777.12, 521,338.92 and 205,700

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Solution

The fourth proportional to 377,777.12, 521,338.92 and 205,700 is: 283,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,777.12 : 521,338.92 = 205,700 : x
  2. Step 2: Convert to fraction form
    377,777.12/521,338.92 = 205,700/x
  3. Step 3: Cross multiply
    377,777.12x = 521,338.92 × 205,700
  4. Step 4: Simplify right side
    377,777.12x = 107,239,415,844
  5. Step 5: Solve for x
    x = 107,239,415,844/377,777.12
  6. Step 6: Final answer
    x = 283,869.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.